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The Banach contraction principle is one of the most powerful fixed point theorems in nonlinear analysis for proving the existence and uniqueness of fixed points in metric spaces.
Anik F1, a Hughes HS702, will be the world's largest and most powerful fixed services communications satellite when it is launched in the second half of the year 2000.
An issue in such studies is that phenotypes are often measured by different instruments across study cohorts, requiring harmonization of measures so that more powerful fixed effect meta-analyses can be employed.
In addition to the private equity gains, net revenue in Goldman's powerful fixed income, currency and commodities unit came in at $2.22 billion, 28 percent higher than the third quarter of 2011.
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In scenario 3, the two DCR end-points are the most powerful, with fixed considerably more powerful than best observed.
Revenue in the powerful fixed-income, currency and commodities department fell to $1.6 billion in the latest period, down 53 percent from a year ago.
But hopes that 2013 would be a good bonus year were all but dashed on Thursday when the firm announced that revenue in its powerful fixed-income, currency and commodities division dropped 44 percent from a year earlier — the worst quarterly result in fixed income since 2008, Susanne Craig and Peter Eavis report in DealBook.
The question is whether people believe Lehman still has plenty of new opportunities to rebuild after the credit crisis decimated Wall Street's powerful fixed-income machine.
In the final model, I take the very powerful fixed-effects approach where unobservable variables at the level of the community are included as a large set of dummy variables.
At a Black Music Month concert in the East Room earlier this summer, a precocious 15-year-old girl with a powerful voice fixed her gaze on the president to offer her own reassurances in the form of a gospel number called "Hold On".
Results from simulation studies showed that adaptive design is more powerful than fixed design for those genomic or genetic biomarkers whose clinical utility is predictive of treatment effect.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com